Analyticity and uniqueness of the fractional electromagnetic BVP

Abstract This paper presents a novel investigation that establishes the uniqueness and analyticity of the fractional solution to a fractional electromagnetic boundary value problem (BVP). The BVP is defined by specifying the tangential electromagnetic components. It has been proven that the analytical expressions for the fractional electromagnetic fields E α , E *α , H α , and H *α do not vanish in any subregions Ω α o or Ω α - Ω α o . Furthermore, the unique solution makes E α = E *α and H α = and H *α without singular fields at same region of the space. Analyticity of the fractional time-harmonic electromagnetic field within lossy or lossless dielectric regions is proven. This paper is generalization of works [2,4] and [24,25].